Question

If root 3 tan theta=1, then find the value of cos2theta-sin2theta

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer: 1

Tan theta =1/√3

Tan theta is perpendicular/base

By using Pythagoras theorem , we can find the hypotenuse

h^2=p^2+ b^2

h^2=(1)^2+(√3)^2

h^2=1+3

h^2=4

h=√4=2

Cos theta=base/hypothese

Sin theta=perpendicular/hypothese

Cos 2theta=(√3/2)^2=3/4

Sin 2 theta=(1/2)^2=1/4

Adding both , we get=3/4+1/4=1